Flow Rate Formula:
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Definition: This calculator converts pressure difference (PSI) to flow rate (GPM) using fluid dynamics principles.
Purpose: It helps engineers and technicians determine fluid flow rates in pipes and systems based on pressure measurements.
The calculator uses these formulas:
Where:
Explanation: The pressure difference is converted to velocity, which is then multiplied by area and a conversion factor to get flow rate.
Details: Accurate flow rate calculations are essential for system design, pump sizing, and troubleshooting fluid systems.
Tips: Enter the pressure values, fluid density (default 62.4 lb/ft³ for water), and pipe area. All values must be > 0 except P₂ which can be 0.
Q1: Why is there a 144 in the formula?
A: This converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).
Q2: What's the 448.83 conversion factor?
A: This converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).
Q3: What density should I use for other fluids?
A: Use 49.2 lb/ft³ for gasoline, 78.6 lb/ft³ for seawater, or look up your specific fluid's density.
Q4: How do I find the cross-sectional area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \).
Q5: Does this account for friction losses?
A: No, this is the theoretical maximum flow. Actual flow will be less due to friction and other losses.